Rounded to the nearest 10, which whole number is closest to √1000? *
Answers
Given :- Rounded to the nearest 10, which whole number is closest to √1000 ?
Solution :-
given number is √1000 . so, first finding the square root of 1000 by long divison method we get,
3 ) 10 00 ( 3
-9
1
now, taking next pair 00 and divisor will be 3 * 2 = 6_
61 ) 100 ( 1
-61
39
now, using decimal and after decimal we can use 0000 , and quotient will be (61 + 1) = 62_
626 ) 3900 ( 6
-3756
144
taking one more pair of 00 and quotient will be (626 + 6) = 632_ .
6322 ) 14400 ( 2
-12644
1756
then,
→ √1000 = 31.62
now, we have to rounded to the nearest 10 ,
→ 31.62 rounded to nearest 10 = 1 at unit place which is less than 5 .
then,
→ 31.62 rounded to nearest 10 = 30 = Required whole number (Ans.)
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Given : √1000
To Find : Rounded to the nearest 10, which whole number is closest to √1000?
Solution:
√1000
= 10√10
as we have 10 in multiplication so if we round of √10 to nearest integer , we will get complete number Rounded to the nearest 10c
√10
9 < 10 < 16
its very clearly seen that 9 is much closer to 10 than 16
Taking square root
3 < √10 < 4
and 3 is closer to √10 than 4
Hence 10 (3) = 30
Rounded to the nearest 10, 30 is h whole number is closest to √1000
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